transport_hdg.cc
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#include "rheolef.h"
using namespace rheolef;
using namespace std;
Float negative (Float x) {
return (x < -1e5*numeric_limits<Float>::epsilon()) ? 1 : 0; }
int main(int argc, char**argv) {
environment rheolef (argc, argv);
geo omega (argv[1]);
space Xh (omega, argv[2]),
Mh (omega["sides"], argv[2]);
Float sigma = (argc > 4) ? atof(argv[4]) : 3;
point u (1,0,0);
trial phi(Xh), lambda(Mh);
test psi(Xh), mu(Mh);
integrate_option iopt;
iopt.invert = true;
form inv_a = integrate (phi*(sigma*psi - dot(u,grad_h(psi)))
+ on_local_sides(abs(dot(u,normal()))*phi*psi), iopt);
form b1 = integrate ("internal_sides", (dot(u,normal())*jump(phi)
- 2*abs(dot(u,normal()))*average(phi))*mu)
- integrate ("boundary", 2*max(0, -dot(u,normal()))*phi*mu);
form b2 = integrate ("internal_sides", average(phi)*mu)
+ integrate ("boundary",
(1-compose(negative,dot(u,normal())))*phi*mu);
form c = integrate ("sides", lambda*mu);
field lh(Xh, 0);
field kh = integrate("boundary", -compose(negative,dot(u,normal()))*mu);
form s = c + b2*inv_a*trans(b1);
field rh = b2*(inv_a*lh) - kh;
field lambda_h(Mh);
problem ps (s);
ps.solve (rh, lambda_h);
field phi_h = inv_a*(lh - b1.trans_mult(lambda_h));
dout << catchmark("sigma") << sigma << endl
<< catchmark("phi") << phi_h
<< catchmark("lambda") << lambda_h;
#ifdef TO_CLEAN
form a = integrate (phi*(sigma*psi - dot(u,grad_h(psi)))
+ on_local_sides(abs(dot(u,normal()))*phi*psi));
odiststream out ("aa","m",io::nogz);
out << matlab
<< setbasename("a") << a.uu()
<< setbasename("inv_a") << inv_a.uu()
<< setbasename("b1") << b1.uu()
<< setbasename("b2") << b2.uu()
<< setbasename("c") << c.uu()
<< setbasename("s") << s.uu()
<< "lh=" << lh.u() << endl
<< "kh=" << kh.u() << endl
<< "rh=" << rh.u() << endl
<< "eig_a=eig(a)" << endl
<< "eig_c=eig(c)" << endl
<< "eig_s=eig(s)" << endl
;
#endif // TO_CLEAN
}
lh
field lh(Float epsilon, Float t, const test &v)
Definition: burgers_diffusion_operators.icc:25
phi
Float phi(const point &nu, Float a, Float b)
Definition: burgers_flux_godunov.icc:25
Float
see the Float page for the full documentation
field
see the field page for the full documentation
form
see the form page for the full documentation
geo
see the geo page for the full documentation
point
see the point page for the full documentation
problem
see the problem page for the full documentation
rheolef::catchmark
see the catchmark page for the full documentation
Definition: catchmark.h:67
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
rheolef::integrate_option
see the integrate_option page for the full documentation
Definition: integrate_option.h:125
rheolef::integrate_option::invert
bool invert
Definition: integrate_option.h:168
rheolef::odiststream
odiststream: see the diststream page for the full documentation
Definition: diststream.h:126
rheolef::std
Definition: vec_expr_v2.h:402
rheolef::dout
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:430
space
see the space page for the full documentation
test
see the test page for the full documentation
trial
see the test page for the full documentation
matlab
verbose clean transpose logscale grid shrink ball stereo iso volume skipvtk deformation fastfieldload lattice reader_on_stdin color format format format format format format format format format format format format format format format matlab
Definition: iorheo-members.h:109
mkgeo_ball.c
int c
Definition: mkgeo_ball.sh:153
mkgeo_contraction.mu
mu
Definition: mkgeo_contraction.sh:193
rheolef::io::out
@ out
Definition: rheostream.h:167
rheolef::io::nogz
@ nogz
Definition: rheostream.h:170
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
rheolef::trans
csr< T, sequential > trans(const csr< T, sequential > &a)
trans(a): see the form page for the full documentation
Definition: csr.h:455
rheolef::dot
rheolef::std enable_if ::type dot const Expr1 expr1, const Expr2 expr2 dot(const Expr1 &expr1, const Expr2 &expr2)
dot(x,y): see the expression page for the full documentation
Definition: vec_expr_v2.h:415
rheolef::grad_h
std::enable_if< details::is_field_convertible< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::gradient >>::type grad_h(const Expr &expr)
grad_h(uh): see the expression page for the full documentation
Definition: field_expr_terminal.h:949
rheolef::on_local_sides
std::enable_if< details::is_field_expr_v2_variational_arg< Expr >::value,details::field_expr_quadrature_on_sides< Expr > >::type on_local_sides(const Expr &expr)
on_local_sides(expr): see the expression page for the full documentation
Definition: field_expr_quadrature.h:321
rheolef::integrate
std::enable_if< details::is_field_expr_v2_nonlinear_arg< Expr >::value &&! is_undeterminated< Result >::value, Result >::type integrate(const geo_basic< T, M > &omega, const Expr &expr, const integrate_option &iopt, Result dummy=Result())
see the integrate page for the full documentation
Definition: integrate.h:202
rheolef::compose
details::field_expr_v2_nonlinear_node_nary< typename details::function_traits< Function >::functor_type,typename details::field_expr_v2_nonlinear_terminal_wrapper_traits< Exprs >::type... > ::type compose(const Function &f, const Exprs &... exprs)
see the compose page for the full documentation
Definition: compose.h:246
rheolef::normal
details::field_expr_v2_nonlinear_terminal_function< details::normal_pseudo_function< Float > > normal()
normal: see the expression page for the full documentation
Definition: field_expr_terminal.h:439
rheolef.h
rheolef - reference manual
a
Definition: diffusion_isotropic.h:25
lambda
Definition: yield_slip_circle.h:34
phi
Definition: phi.h:25
psi
Definition: interpolate_RTk_polynom.icc:34
sigma
Definition: mosolov_exact_circle.h:40
u
Definition: leveque.h:25
u
Float u(const point &x)
Definition: transmission_error.cc:26
epsilon
Float epsilon
Definition: transmission_error.cc:25
main
int main(int argc, char **argv)
Definition: transport_hdg.cc:26
negative
Float negative(Float x)
Definition: transport_hdg.cc:24